Exact big Ramsey degrees for finitely constrained binary free amalgamation classes
Research output: Contribution to journal › Research article › Contributed › peer-review
Contributors
Abstract
We characterize the big Ramsey degrees of free amalgamation classes in finite binary languages defined by finitely many forbidden irreducible substructures, thus refining the recent upper bounds given by Zucker. Using this characterization, we show that the Fraïssé limit of each such class admits a big Ramsey structure satisfying the infinite Ramsey theorem, implying that the automorphism group of the Fraïssé limit has a metrizable universal completion flow.
Details
Original language | English |
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Journal | Journal of the European Mathematical Society : JEMS |
Volume | 2024 |
Publication status | Published - 8 Aug 2024 |
Peer-reviewed | Yes |
External IDs
unpaywall | 10.4171/jems/1507 |
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